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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 31, page id 1047377675:0047
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

UIH
Ml,
e
402
isa
AiS
2Ut
Y
BC a BEI ica arCUSF C SCU arCUS C HI
cum OTT Ted
monstralidum.
BCmaior est quam BHI, e ideo CHI maior cAt quam OFI, de
ideo angulus C B Hmaiot en ai ino L Gubd erat de
P AO P. 13. Z _I F O R F M A,
ETEFGUTA ABMT, quae involuta efICIAE AgUraM NDZ. SIF
excenero inrolucionis N arcus circuliD T: dico arcum
PTminorem esse recta AI, seu Roure erolure axe. dueaEuE
recta BK parallela e equalis rectE AI, Sicque rectangulum
ad libicum FCLI, uc honea ABMI inscribatur rectilineam
ABFCLI, quod hi involracur, erit eius angulus involurionis
minor ansulo involucionis rectansuli ABKLinroluris hoc au.
tem icainnorescie, rectilineum AB F C L. I inuolurum idem
est cum inuoluro rectanoulo AB F F rna cum inuoluto re-
etangulo E CL. I; e rectangulum AB K Linvolurum idem
est cum priore involuco rectangulo ABF P una cum inuo.
luro rectangulo F. FK B. Ced ex praecedence angulus involu-
tionis rectanguli F: C. L. I minor est angulo involucionis re-
Aanguli F FKI, e proinde angulus inrolutionis rectilinei
ABFC:L.I inuoluci minor est angulo inrolucionis recransule
ABKI inuoluci: eodem prorsus modo (si ducaneur rectE IH,
SV, Parallelae reccis AB, IM, _ reCTA RO, V Y, Parallelae aXi
AI, uc compleatur rectilineum ABOROCISVYI) demondra
bicur eius aneulus involutionis esse minoransulo involucion
AIS